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Finding the Fourth Proportional to 2,752.25, 3,798.36 and 1,573.70

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Solution

The fourth proportional to 2,752.25, 3,798.36 and 1,573.70 is: 2,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.25 : 3,798.36 = 1,573.70 : x
  2. Step 2: Convert to fraction form
    2,752.25/3,798.36 = 1,573.70/x
  3. Step 3: Cross multiply
    2,752.25x = 3,798.36 × 1,573.70
  4. Step 4: Simplify right side
    2,752.25x = 5,977,460.14
  5. Step 5: Solve for x
    x = 5,977,460.14/2,752.25
  6. Step 6: Final answer
    x = 2,171.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.